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2005024 = 2578951
BaseRepresentation
bin111101001100000100000
310202212101011
413221200200
51003130044
6110550304
723020360
oct7514040
93685334
102005024
11114a44a
12808394
13552808
143a29a0
15299134
hex1e9820

2005024 has 24 divisors (see below), whose sum is σ = 4511808. Its totient is φ = 859200.

The previous prime is 2005021. The next prime is 2005027. The reversal of 2005024 is 4205002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2005021) and next prime (2005027).

It is a junction number, because it is equal to n+sod(n) for n = 2004995 and 2005013.

It is not an unprimeable number, because it can be changed into a prime (2005021) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4252 + ... + 4699.

It is an arithmetic number, because the mean of its divisors is an integer number (187992).

22005024 is an apocalyptic number.

It is an amenable number.

2005024 is an abundant number, since it is smaller than the sum of its proper divisors (2506784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2005024 is an equidigital number, since it uses as much as digits as its factorization.

2005024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8968 (or 8960 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 2005024 is about 1415.9887005199. The cubic root of 2005024 is about 126.0975141653.

The spelling of 2005024 in words is "two million, five thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 8951 17902 35804 62657 71608 125314 143216 250628 286432 501256 1002512 2005024